(4x+7)*(3x-5)*(-4)=

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Solution for (4x+7)*(3x-5)*(-4)= equation: 


Simplifying
(4x + 7)(3x + -5)(-4) = 0

Reorder the terms:
(7 + 4x)(3x + -5)(-4) = 0

Reorder the terms:
(7 + 4x)(-5 + 3x)(-4) = 0

Reorder the terms for easier multiplication:
-4(7 + 4x)(-5 + 3x) = 0

Multiply (7 + 4x) * (-5 + 3x)
-4(7(-5 + 3x) + 4x * (-5 + 3x)) = 0
-4((-5 * 7 + 3x * 7) + 4x * (-5 + 3x)) = 0
-4((-35 + 21x) + 4x * (-5 + 3x)) = 0
-4(-35 + 21x + (-5 * 4x + 3x * 4x)) = 0
-4(-35 + 21x + (-20x + 12x2)) = 0

Combine like terms: 21x + -20x = 1x
-4(-35 + 1x + 12x2) = 0
(-35 * -4 + 1x * -4 + 12x2 * -4) = 0
(140 + -4x + -48x2) = 0

Solving
140 + -4x + -48x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(35 + -1x + -12x2) = 0

Factor a trinomial.
4((5 + -3x)(7 + 4x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve:

Simplifying
7 + 4x = 0

Solving
7 + 4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4x = 0 + -7
4x = 0 + -7

Combine like terms: 0 + -7 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75
Solution
x = {1.666666667, -1.75}

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